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Finding the Fourth Proportional to 914.27, 1,371.23 and 761.18

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Solution

The fourth proportional to 914.27, 1,371.23 and 761.18 is: 1,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.27 : 1,371.23 = 761.18 : x
  2. Step 2: Convert to fraction form
    914.27/1,371.23 = 761.18/x
  3. Step 3: Cross multiply
    914.27x = 1,371.23 × 761.18
  4. Step 4: Simplify right side
    914.27x = 1,043,752.85
  5. Step 5: Solve for x
    x = 1,043,752.85/914.27
  6. Step 6: Final answer
    x = 1,141.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.